Greatest Common Factor of 7766/628, 1986/1450

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7766/628, 1986/1450

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

Greatest Common Factor of 7766/628,1986/1450

Given fractions are 7766/628,1986/1450

Formula to find GCF of Fractions is

GCF = GCF of Numerators/LCM of Denominators

As per the formula GCF of Fractions let’s split into two parts and find the GCF of Numerators and LCM of Denominators

In the given fractions GCF of Numerators means GCF of 7766,1986

Greatest Common Factor of Numerators i.e. GCF of 7766,1986 is 2 .

LCM of Denominators means LCM of 628,1450 as per the given fractions.

LCM of 628,1450 is 455300 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7766,1986

GCF of Fractions 7766/628,1986/1450 is 2/455300

2 7766, 1986
3883, 993

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 7766,1986 By Matching Biggest Common Factor Method

Greatest Common Factor of 7766,1986 By Matching Biggest Common Factor Method

Factors of 7766

List of positive integer factors of 7766 that divides 7766 without a remainder.

1,2,11,22,353,706,3883,7766

Factors of 1986

List of positive integer factors of 1986 that divides 1986 without a remainder.

1,2,3,6,331,662,993,1986

Greatest Common Factor

We found the factors 7766,1986 . The biggest common factor number is the GCF number.
So the greatest common factor 7766,1986 is 2.

Lets's calculate LCM of 628,1450

2 628, 1450
314, 725

∴ So the LCM of the given numbers is 2 x 314 x 725 = 455300

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/455300

Therefore, the GCF of Fractions 7766/628,1986/1450 is 2/455300

Least Common Multiple of 628,1450 with GCF Formula

Least Common Multiple of 628,1450 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 628,1450 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(628,1450) = 2

common factors(in case of two or more numbers have common factors) = 1

GCF(628,1450) x common factors =2 x 1 = 2

LCM(628,1450) = ( 628 × 1450 ) / 2

LCM(628,1450) = 910600 / 2

LCM(628,1450) = 455300


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 7766/628, 1986/1450

1. How to find GCF in Fractions?

Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.

2. What is the GCF of Fractions for 7766/628, 1986/1450?

Answer: GCF of Numerators as per given numbers 7766/628, 1986/1450 is

GCF of Numerators i.e. for 7766,1986 is 2

LCM of denominators i.e. for 628,1450 is 455300.

Thus, GCF of Fractions is 2/455300.Finally, GCF of Fractions for 7766/628, 1986/1450 is 2/455300.